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Finding the Fourth Proportional to 632.52, 872.39 and 411.55

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Solution

The fourth proportional to 632.52, 872.39 and 411.55 is: 567.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.52 : 872.39 = 411.55 : x
  2. Step 2: Convert to fraction form
    632.52/872.39 = 411.55/x
  3. Step 3: Cross multiply
    632.52x = 872.39 × 411.55
  4. Step 4: Simplify right side
    632.52x = 359,028.16
  5. Step 5: Solve for x
    x = 359,028.16/632.52
  6. Step 6: Final answer
    x = 567.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.